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Finding the Fourth Proportional to 731.58, 1,097.58 and 407.18

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Solution

The fourth proportional to 731.58, 1,097.58 and 407.18 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.58 : 1,097.58 = 407.18 : x
  2. Step 2: Convert to fraction form
    731.58/1,097.58 = 407.18/x
  3. Step 3: Cross multiply
    731.58x = 1,097.58 × 407.18
  4. Step 4: Simplify right side
    731.58x = 446,907.14
  5. Step 5: Solve for x
    x = 446,907.14/731.58
  6. Step 6: Final answer
    x = 610.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.